{
  "id": "math/0611822",
  "version": "v1",
  "published": "2006-11-27T14:36:41.000Z",
  "updated": "2006-11-27T14:36:41.000Z",
  "title": "An Extension of the Foata Map to Standard Young Tableaux",
  "authors": [
    "Jim Haglund",
    "Laura Stevens"
  ],
  "comment": "15 pages, 8 figures",
  "journal": "Sem. Loth. Comb. 56 (2006), Article B56C",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define an inversion statistic on standard Young tableaux. We prove that this statistic has the same distribution over SYT(\\lambda) as the major index statistic by exhibiting a bijection on SYT(\\lambda) in the spirit of the Foata map on permutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-27T14:36:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10"
    ],
    "keywords": [
      "standard young tableaux",
      "foata map",
      "major index statistic",
      "inversion statistic",
      "permutations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11822H"
    }
  }
}